Least-quares for second-order elliptic problems
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Publication:1970662
DOI10.1016/S0045-7825(97)00189-8zbMath0944.65119OpenAlexW2029384438MaRDI QIDQ1970662
Joseph E. Pasciak, James H. Bramble, Raytcho D. Lazarov
Publication date: 26 September 2000
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0045-7825(97)00189-8
Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Cites Work
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- Least-squares finite element method for fluid dynamics
- Least squares finite element simulation of transonic flows
- A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
- A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces
- On finite element approximation of the gradient for solution of Poisson equation
- Accuracy of least-squares methods for the Navier--Stokes equations
- Least-squares mixed finite element methods for non-selfadjoint elliptic problems. I: Error estimates
- Maximum Norm Estimates in the Finite Element Method on Plane Polygonal Domains. Part 2, Refinements
- Some Estimates for a Weighted L 2 Projection
- Least Squares Methods for Elliptic Systems
- An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms
- A Finite Element Method for the Stationary Stokes Equations Using Trial Functions which do not have to Satisfy div u= 0
- A Least Squares Decomposition Method for Solving Elliptic Equations
- Least-Squares Mixed Finite Elements for Second-Order Elliptic Problems
- Analysis of Least Squares Finite Element Methods for the Stokes Equations
- First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
- First-Order System Least Squares for Second-Order Partial Differential Equations: Part II
- Some new error estimates for Ritz–Galerkin methods with minimal regularity assumptions
